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书名 时滞动力系统的分析与控制(精)
分类
作者 孙建桥//丁千
出版社 高等教育出版社
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《时滞动力系统的分析与控制(精)》(作者孙建桥、丁千)对这一活跃的研究领域进行了简介,编入了国际上时滞动力系统分析与控制方面的知名专家的研究成果和综述文章,内容包括以下若干专题:时滞动力系统的周期解求解方法、稳定性分析等,本书适合从事相关研究工作的人员参考阅读。

内容推荐

时滞系统的分析与控制在机械、控制、经济和生态系统等诸多领域有广泛应用,人们对于时滞动力系统研究的兴趣也在不断提高。《时滞动力系统的分析与控制(精)》(作者孙建桥、丁千)对这一活跃的研究领域进行了简介,编入了国际上时滞动力系统分析与控制方面的知名专家的研究成果和综述文章,《时滞动力系统的分析与控制(精)》内容包括以下若干专题:时滞动力系统的周期解求解方法、稳定性分析,分岔与控制,随机动力学与控制,含时滞的哈密顿系统和不确定动力系统,以及时滞结构控制的实验研究等。

本书对于机械、土木、结构、航空航天、航海以及电气工程等领域的工程技术人员有一定参考价值,并且可以为从事动力学与控制研究的研究生提供学习指导。

目录

Chapter 1 Complete Quadratic Lyapunov-Krasovskii ~nctional:

Limitations, Computational Efficiency, and Convergence

Keqin Gu

1. Introduction

2. Complete Quadratic Lyapunov-Krasovskii Functional

3. Discretized Lyapunov Functional Method

4. Coupled Differential-difference Equations

5. Miscellaneous Issues

6. SOS Method

7. Conclusions and Perspectives

References

Chapter 2 Recent Approaches for the Numerical Solution of State-

dependent Delay Differential Equations with

Discontinuities

Alfredo Bellen

1. Introduction

2. Weak Solutions

3. Regularization Techniques

4. Comparing Regularizations

References

Chapter 3 Engineering Applications of Time-periodic Time-delayed

Systems

Gdbor Stdpdn

1. Introduction

2. Delayed Mathieu Equation

3. Semi-discretization Method for Periodic DDEs

4. Engineering Applications

5. Conclusions

References

Chapter 4 Synchronization in Delay-coupled Complex Networks

Eckehard SchSll

1. Introduction

2. Stability of Synchronization for Large Delay

3. Cluster Synchronization

4. Adaptive Synchronization

5. Transitions between Synchronization and Desychronization..

6. Conclusion and Outlook

References

Chapter 5 Stochastic Dynamics and Optimal Control of Quasi

Integrable Hamiltonian Systems with Time-delayed

Feedback Control

Weiqiu Zhu, Zhonghua Liu

1. Introduction

2. Stochastic Averaging Method for Quasi Integrable Hamiltonian

Systems with Time-delayed Feedback Control

3. Stochastic Dynamics of Quasi Integrable Hamiltonian Systems

with Time-delayed Feedback Control

4. Stochastic Optimal Control of Quasi Integrable Hamiltonian

Systems with Time-delayed Feedback Control ]

5. Concluding Remark 1

References 1

Chapter 6 Delay Induced Strong and Weak Resonances in Delayed

Differential Systems

Jian Xu, Wanyong Wang

1. Introduction

2. Analysis for Double Hopf Bifurcation

3. Conditions for Strong Resonances and Weak Resonances

4. Weak and Strong Resonances in Delayed Feedback Systems.

5. Weak and Strong Resonances in Van der Pol Systems with

Delay Coupling

6. Conclusions

References

Chapter 7 Stability and Hopf Bifurcation of Time-delayed Systems

with Complex Coefficients

Zaihua Wang, Junyu Li

1. Introduction

2. The Crossing Direction for Stability Analysis...

3. Numerical and Graphical Stability Test

4. Pseudo-oscillator Analysis for Hopf Bifurcation.

5. Conclusions

References..

Chapter 8 Estimation and Control in Time-delayed Dynamical Systems

Using the Chebyshev Spectral Continuous Time

Approximation and Reduced Liapunov-Floquet

Transformation

Eric A. Butcher, Oleg Bobrenkov, Morad Nazari,

Shahab Torkamani

1. Introduction

2. Chebyshev Spectral Continuous Time Approximation

3. Reduced Liapunov-Floquet Transformation

4. Feedback Control of Periodic Delayed Systems

5. Stochastic State, Parameter, and Delay Estimation

6. Application to Observer-based Delayed Feedback Control of

Spacecraft Attitude

7. Conclusions

References

Chapter 9 Noise-induced Dynamics of Time-delayed Stochastic

Systems

Yanfei Jin, Haiyan Hu

1. Introduction

2. Fundamentals for Time-delayed Stochastic Systems

3. Dynamical Behaviors of the Stochastic Systems with

Time-delayed Feedback Control

4. Noise-induced Resonances in Delayed Bistable Systems

5. Concluding Remarks

References

Chapter 10 Some Studies on Delaved Svstem Dvnamics and Control

Guo-Ping Cai, Long-Xiang Chen, Kun Liu

1. Introduction

2. Time Delay Identification

3. Two Time-delayed Controllers for Linear Structural

Systems

4. Time-delayed Controller for Nonlinear Structural Systems

5. Parameter Robustness of Time-delayed Controller

6. Robust H Time-delayed Controller Based on The LMI

Technique

7. Delayed Positive Feedback Control Technique

8. Time Delay Experiments

9. Concluding Remarks

References

Chapter 11 Switching Control of Uncertain Dynamical Systems

with Time Delay

Jian-Qiao Sun, Xiao-Yan Zhang, Zhi-Chang Qin,

Shun Zhong

1. Introduction

2. Supervisory Control for Systems with Uncertain Time

Delay

3. Sliding Mode Control Design for Uncertain Systems

4. Concluding Remarks

References

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